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Finding the Fourth Proportional to 2,603.13, 3,904.09 and 753.83

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Solution

The fourth proportional to 2,603.13, 3,904.09 and 753.83 is: 1,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.13 : 3,904.09 = 753.83 : x
  2. Step 2: Convert to fraction form
    2,603.13/3,904.09 = 753.83/x
  3. Step 3: Cross multiply
    2,603.13x = 3,904.09 × 753.83
  4. Step 4: Simplify right side
    2,603.13x = 2,943,020.16
  5. Step 5: Solve for x
    x = 2,943,020.16/2,603.13
  6. Step 6: Final answer
    x = 1,130.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.